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Finding the Third Proportional to 2,569,026 and 3,614,559

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Solution

The third proportional to 2,569,026 and 3,614,559 is: 5,085,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,026 : 3,614,559 = 3,614,559 : x
  2. Step 2: Convert to fraction form
    2,569,026/3,614,559 = 3,614,559/x
  3. Step 3: Cross multiply
    2,569,026x = 3,614,559 × 3,614,559
  4. Step 4: Simplify right side
    2,569,026x = 13,065,036,764,481
  5. Step 5: Solve for x
    x = 13,065,036,764,481/2,569,026
  6. Step 6: Final answer
    x = 5,085,599.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.